Almost primes represented by binary forms
- Autores: Gihan Marasingha
- Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 82, Nº 2, 2010, págs. 295-316
- Idioma: inglés
- DOI: 10.1112/jlms/jdq026
- Enlaces
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Resumen
We demonstrate that, under suitable local conditions on a finite collection F1, . . . , Fg of binary irreducible forms with integer coefficients, the product F1(x) · . . . · Fg(x) will have at most r prime factors for infinitely many x. We give explicit upper bounds for r that depend only on g and on the total degree of the product polynomial.
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